find the triple scalar product u . (v * w) for the vectors

Question

u = 9i - 7j - 3k
v = -6i + j - 5k
w = 2i + 8j - 9k

Answer 1

do you mean
u dot (v X w) ????

if so

vXw =

+i +j +k
-6 +1 -5
+2 +8 -9

= (-9 +40)i + (-10-54)j +(-48-2)k

-49i -64j -50 k now dot with
+ 9i - 7j - 3 k

---> -441 + 448 + 150

157
CHECK MY ARITHMETIC

Answer 2

as long as we're using determinants,

u•v×w =
|9 -7 -3|
|-6 1 -5|
|2 8 -9|